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Finding the Third Proportional to 339,487.50 and 706,859.25

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Solution

The third proportional to 339,487.50 and 706,859.25 is: 1,471,777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,487.50 : 706,859.25 = 706,859.25 : x
  2. Step 2: Convert to fraction form
    339,487.50/706,859.25 = 706,859.25/x
  3. Step 3: Cross multiply
    339,487.50x = 706,859.25 × 706,859.25
  4. Step 4: Simplify right side
    339,487.50x = 499,649,999,310.56
  5. Step 5: Solve for x
    x = 499,649,999,310.56/339,487.50
  6. Step 6: Final answer
    x = 1,471,777.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.